Ueber Riemann'sche Flächen mit gegebenen Verzweigungspunkten
TLDR
The Riemannsche Theorie der algebraischen Funktionen as discussed by the authors is a Theorie von der graphisch uber der komplexen Zahlenebene.Abstract:
Die grundlegende Bedeutung des vorliegenden Themas fur die Riemann’sche Theorie der algebraischen Funktionen brauche ich wohl kaum hervorzuheben. Geht doch diese Theorie von der graphisch uber der komplexen Zahlenebene konstruierten Riemann’schen Flache aus, um erst sodann die Funktionen, welche durch diese Flache bestimmt sind, zu untersuchen.read more
Citations
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Constructive Geometrization of Thurston Maps and Decidability of Thurston Equivalence
TL;DR: Bonnot et al. as discussed by the authors proved that every marked Thurston map can be constructively geometrized in a canonical fashion, and gave a partial resolution of the general problem of decidability of Thurston equivalence of two postcritically finite branched covers of $$S^2$$ (cf.
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Sorting on graphs by adjacent swaps using permutation groups
TL;DR: This paper reviews the existing permutation sorting and permutation decomposition procedures for sorting on graphs with line, star, complete, and ring topologies by adjacent swaps and describes how abstract group-theoretical methods are used to find a minimum-length sequence of adjacent swaps needed to sort objects on those graphs.
Posted Content
The characteristic numbers of quartic plane curves
TL;DR: The characteristic number of smooth plane quartics is computed using intersection theory on a component of the moduli space of stable maps as mentioned in this paper, which completes the verification of Zeuthen's prediction of the characteristic number for smooth plane curves.
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On Gromov–Witten invariants of $\mathbb{P}^1$
Boris Dubrovin,Di Yang +1 more
TL;DR: In this article, a conjectural explicit formula of generating series of a new type for Gromov-Witten invariants of all degrees in full genera was proposed. But this formula is not applicable to the genera in which we are concerned.
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Simple Hurwitz Numbers of a Disk
TL;DR: In this article, the authors study the Hurwitz numbers corresponding to the coverings of D whose only multiple critical value lies on the boundary of D and find differential equations describing the generating function of these numbers.
References
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Ueber die Auflösung gewisser Gleichungen vom siebenten und achten Grade
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Ueber diejenigen algebraischen Gebilde, welche eindeutige Transformationen in sich zulassen
TL;DR: In den nachfolgenden Zeilen beschaftige ich mich namentlich mit der Aufgabe: alle irreduzibeln algebraischen Gleichungen as discussed by the authors.